Question

Решите систему методом подстановки {3х-у=-9 ,х+2у=11

Answer 1

{3х-у=-9
{Х=11-2у

3•(11-2у)-у=-9
33-6у-у=-9
-7у=-9-33
-7у=-42
у=42:7
у=6

{у=6
{Х=11-2•6. => Х=-1

Answer 2

System of Equations and Substitution Method

To solve the system of equations using the substitution method, we will solve one equation for one variable and substitute that expression into the other equation.

The given system of equations is: Equation 1: 3x - y = -9 Equation 2: x + 2y = 11

Let's solve Equation 1 for x: From Equation 1, we have: 3x - y = -9 Solving for x, we get: 3x = y - 9 x = (y - 9)/3

Now, substitute this expression for x into Equation 2: x + 2y = 11 ((y - 9)/3) + 2y = 11

Now, we can solve this equation to find the value of y.

Let's proceed with the calculations.